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Finding the Fourth Proportional to 102.57, 141.47 and 65.69

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Solution

The fourth proportional to 102.57, 141.47 and 65.69 is: 90.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 141.47 = 65.69 : x
  2. Step 2: Convert to fraction form
    102.57/141.47 = 65.69/x
  3. Step 3: Cross multiply
    102.57x = 141.47 × 65.69
  4. Step 4: Simplify right side
    102.57x = 9,292.13
  5. Step 5: Solve for x
    x = 9,292.13/102.57
  6. Step 6: Final answer
    x = 90.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.